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- advances on lfpxs ...
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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/reduction/lpx_aaa.ma".
-include "basic_2/computation/lpxs.ma".
-
-(* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
-
-(* Properties about atomic arity assignment on terms ************************)
-
-lemma lpxs_aaa_conf: ∀h,o,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
-                     ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, o] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
-#h #o #G #L1 #T #A #HT #L2 #HL12
-@(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by lpx_aaa_conf/
-qed-.
-
-lemma lprs_aaa_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
-                     ∀L2. ⦃G, L1⦄ ⊢ ➡* L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
-/3 width=5 by lprs_lpxs, lpxs_aaa_conf/ qed-.